Atkin-Lehner |
2+ 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190n |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25120185927390 = 2 · 38 · 5 · 19 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8589,188242] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:729:1] [-46:720:1] |
Generators of the group modulo torsion |
j |
70061403416674249/25120185927390 |
j-invariant |
L |
7.1795604843619 |
L(r)(E,1)/r! |
Ω |
0.61521128519787 |
Real period |
R |
1.4587590997404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570ca3 |
Quadratic twists by: -3 |